Extensions 1→N→G→Q→1 with N=C2xF5 and Q=Q8

Direct product G=NxQ with N=C2xF5 and Q=Q8
dρLabelID
C2xQ8xF580C2xQ8xF5320,1599

Semidirect products G=N:Q with N=C2xF5 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C2xF5):Q8 = (C2xF5):Q8φ: Q8/C4C2 ⊆ Out C2xF580(C2xF5):Q8320,1128

Non-split extensions G=N.Q with N=C2xF5 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C2xF5).1Q8 = C4:C4:5F5φ: Q8/C4C2 ⊆ Out C2xF580(C2xF5).1Q8320,1049
(C2xF5).2Q8 = C20:(C4:C4)φ: Q8/C4C2 ⊆ Out C2xF580(C2xF5).2Q8320,1050
(C2xF5).3Q8 = C4:C4xF5φ: trivial image80(C2xF5).3Q8320,1048

׿
x
:
Z
F
o
wr
Q
<